What is the Greatest Common Factor of 13507 and 13520?

Greatest common factor (GCF) of 13507 and 13520 is 13.

GCF(13507,13520) = 13

We will now calculate the prime factors of 13507 and 13520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13507 and 13520.

How to find the GCF of 13507 and 13520?

We will first find the prime factorization of 13507 and 13520. After we will calculate the factors of 13507 and 13520 and find the biggest common factor number .

Step-1: Prime Factorization of 13507

Prime factors of 13507 are 13, 1039. Prime factorization of 13507 in exponential form is:

13507 = 13¹ × 1039¹

Step-2: Prime Factorization of 13520

Prime factors of 13520 are 2, 5, 13. Prime factorization of 13520 in exponential form is:

13520 = 2⁴ × 5¹ × 13²

Step-3: Factors of 13507

List of positive integer factors of 13507 that divides 13507 without a remainder.

1, 13, 1039

Step-4: Factors of 13520

List of positive integer factors of 13520 that divides 13507 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 169, 208, 260, 338, 520, 676, 845, 1040, 1352, 1690, 2704, 3380, 6760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13507 and 13520. The biggest common factor number is the GCF number.
So the greatest common factor 13507 and 13520 is 13.

Also check out the Least Common Multiple of 13507 and 13520